I use a Frost River canvas roll up dopp kit when I travel.
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I do not travel with a straight razor because for me that would be a pita. I take a Palmolive shave stick in a vintage shave stick container, a small size alum deodorant for post shave, a Muhle travel brush and a converted leather small camera case which holds a Merkur 37c slant DE plus a pack of Feather blades. Not pictured is some AS and EdC.
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If I go by air the DE and blades goes in checked baggage and a couple of disposable Bic type razors go in the roll up dopp kit.
Bob